Use the given information about the polynomial graph to write the equation.
Degree 3. Zeros at
x = −5,

x = −2,
and
x = 1.
y-intercept at
(x, y) = (0, 9).

so y equals what

Question

Use the given information about the polynomial graph to write the equation.
Degree 3. Zeros at 
x = −5,
 
x = −2,
 and 
x = 1.
 y-intercept at 
(x, y) = (0, 9).

so y equals what

sooobored · Answer

zeros at x=-5, x=-2, and x=1 means that 
x+5=0, x+2=0, and x-1=0 are possible solutions of your polynomial

emmynimmy · Answer

okay so what does y equal

issimplcalcus · Answer

You can start by multiplying the zeros (FOIL-ing), you'd write them as if you had factored them.
(x + 5)(x + 2)(x - 1)

sooobored · Answer

finding the root is when you set y equal to zero and solve for x
hence your polynomial should incorporate (x+5), (x+2), and (x-1)

like calcus wrote above

emmynimmy · Answer

okay but can u solve it for me so i can see how u did it

sooobored · Answer

its not solved fyi

emmynimmy · Answer

okay so can one of you solve it.

emmynimmy · Answer

??

sooobored · Answer

looking at the information given, 
Degree 3

this means that the highest exponent in our polynomial will be 3 or x^3

sooobored · Answer

meaning that our polynomial will have at most only 3 solutions/roots

sooobored · Answer

this also means that the solution will approximately look like 
y~ (x+5)(x+2)(x-1) and that the roots given are all singular roots

as in, it wouldnt look like 
$$(x+5)^2(x+2)^4 (x-1)$$

sooobored · Answer

the y-intercept is given as (0,9)

this means when you substitute x=0. then y should be equal to 9

however, what value do you get if you substitute x=0 in the expression below?
(x+5)(x+2)(x-1)